2642629509 has 48 divisors (see below), whose sum is σ = 4254091200. Its totient is φ = 1620575424.

The previous prime is 2642629501. The next prime is 2642629519. The reversal of 2642629509 is 9059262462.

It is not a de Polignac number, because 2642629509 - 2³ = 2642629501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642629501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582527 + ... + 1584195.

It is an arithmetic number, because the mean of its divisors is an integer number (88626900).

Almost surely, 2^2642629509 is an apocalyptic number.

It is an amenable number.

2642629509 is a deficient number, since it is larger than the sum of its proper divisors (1611461691).

2642629509 is a wasteful number, since it uses less digits than its factorization.

2642629509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2642629509 is about 51406.5123209112. The cubic root of 2642629509 is about 1382.5433578830.

The spelling of 2642629509 in words is "two billion, six hundred forty-two million, six hundred twenty-nine thousand, five hundred nine".